Free motion of the deformable Earth’s pole

Abstract

Abstract Free motion of the Earth pole is studied on the base of Euler-Liouville dynamic equations of the deformable Earth motion around its center of mass. The dependence of the external influence amplitude from dissipation coefficients is found for the stationary mode of the Earth pole oscillations on the Chandler frequency and external disturbance with the Chandler frequency. It is shown that the Chandler wobble amplitude is sensitive to the difference between the Chandler frequency and those close to it and to the nonlinear dissipation coefficients. The stability conditions of the steady Chandler wobble are defined.